T. Banica

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19982007

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math.QA2003

Quantum automorphism groups of homogeneous graphs

Teodor Banica

Associated to a finite graph $X$ is its quantum automorphism group $G$ . The main problem is to compute the Poincaré series of $G$ , meaning the series $f (z) = 1 + c_{1} z + c_{2} z^{2} + ...$ whose…

math.QA2003

Quantum automorphism groups of small metric spaces

Teodor Banica

To any finite metric space $X$ we associate the universal Hopf $\c^*$-algebra $H$ coacting on $X$ . We prove that spaces $X$ having at most 7 points fall into one of the following c…